Symmetrization of mono\"ids as hypergroups
Algebraic Geometry
2013-09-10 v1 Commutative Algebra
Rings and Algebras
Abstract
We adapt the construction of the Grothendieck group associated to a commutative mono\"id to handle idempotent mono\"ids. Our construction works for a restricted class of commutative mono\"ids, it agrees with the Grothendieck group construction in many cases and yields a hypergroup which solves the universal problem for morphisms to hypergroups. It gives the expected non-trivial hypergroup construction in the case of idempotent mono\"ids.
Cite
@article{arxiv.1309.1963,
title = {Symmetrization of mono\"ids as hypergroups},
author = {Simon Henry},
journal= {arXiv preprint arXiv:1309.1963},
year = {2013}
}
Comments
7 pages